726 citations · 2k across the 14 of their papers we have counts for
5 papers · 1 filter
Percolation on interdependent one-dimensional long-range networks
Adar Sharabi, Amir Bashan, Sergey V. Buldyrev +1
We study the emergence of a mutual giant component in a multiplex network comprised of two one-dimensional long-range networks on a lattice. The probability that two nodes on one l…
Percolation in heterogeneous spatial networks with long-range interactions
Guy Amit, Dana Ben Porath, Sergey V. Buldyrev +1
We study the emergence of a giant component in a spatial network where the distribution of the metric distances between the nodes is scale-invariant, and the interaction between th…
Simultaneous first and second order percolation transitions in interdependent networks
Dong Zhou, Amir Bashan, Reuven Cohen +3
In a system of interdependent networks, an initial failure of nodes invokes a cascade of iterative failures that may lead to a total collapse of the whole system in a form of an ab…
The combined effect of connectivity and dependency links on percolation of networks
Amir Bashan, Shlomo Havlin
Percolation theory is extensively studied in statistical physics and mathematics with applications in diverse fields. However, the research is focused on systems with only one type…
Percolation in networks composed of connectivity and dependency links
Amir Bashan, Roni Parshani, Shlomo Havlin
Networks composed from both connectivity and dependency links were found to be more vulnerable compared to classical networks with only connectivity links. Their percolation transi…